TSTP Solution File: SET079-6 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SET079-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:33:54 EDT 2023
% Result : Unsatisfiable 0.15s 0.37s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SET079-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.30 % Computer : n025.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue May 30 10:24:12 EDT 2023
% 0.10/0.30 % CPUTime :
% 0.15/0.31 % Drodi V3.5.1
% 0.15/0.37 % Refutation found
% 0.15/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.37 fof(f9,axiom,(
% 0.15/0.37 (![X,Y]: (( ~ member(X,universal_class)| member(X,unordered_pair(X,Y)) ) ))),
% 0.15/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f12,axiom,(
% 0.15/0.37 (![X]: (unordered_pair(X,X) = singleton(X) ))),
% 0.15/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f21,axiom,(
% 0.15/0.37 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,X) ) ))),
% 0.15/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f22,axiom,(
% 0.15/0.37 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,Y) ) ))),
% 0.15/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f24,axiom,(
% 0.15/0.37 (![Z,X]: (( ~ member(Z,complement(X))| ~ member(Z,X) ) ))),
% 0.15/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f67,axiom,(
% 0.15/0.37 (![X]: (( X = null_class| intersection(X,regular(X)) = null_class ) ))),
% 0.15/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f92,negated_conjecture,(
% 0.15/0.37 member(x,universal_class) ),
% 0.15/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f93,negated_conjecture,(
% 0.15/0.37 singleton(x) = null_class ),
% 0.15/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f104,plain,(
% 0.15/0.37 ![X]: (~member(X,universal_class)|(![Y]: member(X,unordered_pair(X,Y))))),
% 0.15/0.37 inference(miniscoping,[status(esa)],[f9])).
% 0.15/0.37 fof(f105,plain,(
% 0.15/0.37 ![X0,X1]: (~member(X0,universal_class)|member(X0,unordered_pair(X0,X1)))),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f104])).
% 0.15/0.37 fof(f109,plain,(
% 0.15/0.37 ![X0]: (unordered_pair(X0,X0)=singleton(X0))),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f12])).
% 0.15/0.37 fof(f121,plain,(
% 0.15/0.37 ![Z,X]: ((![Y]: ~member(Z,intersection(X,Y)))|member(Z,X))),
% 0.15/0.37 inference(miniscoping,[status(esa)],[f21])).
% 0.15/0.37 fof(f122,plain,(
% 0.15/0.37 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f121])).
% 0.15/0.37 fof(f123,plain,(
% 0.15/0.37 ![Z,Y]: ((![X]: ~member(Z,intersection(X,Y)))|member(Z,Y))),
% 0.15/0.37 inference(miniscoping,[status(esa)],[f22])).
% 0.15/0.37 fof(f124,plain,(
% 0.15/0.37 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X2))),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f123])).
% 0.15/0.37 fof(f126,plain,(
% 0.15/0.37 ![X0,X1]: (~member(X0,complement(X1))|~member(X0,X1))),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f24])).
% 0.15/0.37 fof(f169,plain,(
% 0.15/0.37 ![X0]: (X0=null_class|intersection(X0,regular(X0))=null_class)),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f67])).
% 0.15/0.37 fof(f199,plain,(
% 0.15/0.37 member(x,universal_class)),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f92])).
% 0.15/0.37 fof(f200,plain,(
% 0.15/0.37 singleton(x)=null_class),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f93])).
% 0.15/0.37 fof(f231,plain,(
% 0.15/0.37 ![X0,X1]: (~member(X0,null_class)|member(X0,X1)|X1=null_class)),
% 0.15/0.37 inference(paramodulation,[status(thm)],[f169,f122])).
% 0.15/0.37 fof(f246,plain,(
% 0.15/0.37 ![X0]: (~member(X0,universal_class)|member(X0,singleton(X0)))),
% 0.15/0.37 inference(paramodulation,[status(thm)],[f109,f105])).
% 0.15/0.37 fof(f248,plain,(
% 0.15/0.37 spl0_3 <=> member(x,universal_class)),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f250,plain,(
% 0.15/0.37 ~member(x,universal_class)|spl0_3),
% 0.15/0.37 inference(component_clause,[status(thm)],[f248])).
% 0.15/0.37 fof(f251,plain,(
% 0.15/0.37 spl0_4 <=> member(x,null_class)),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f252,plain,(
% 0.15/0.37 member(x,null_class)|~spl0_4),
% 0.15/0.37 inference(component_clause,[status(thm)],[f251])).
% 0.15/0.37 fof(f254,plain,(
% 0.15/0.37 ~member(x,universal_class)|member(x,null_class)),
% 0.15/0.37 inference(paramodulation,[status(thm)],[f200,f246])).
% 0.15/0.37 fof(f255,plain,(
% 0.15/0.37 ~spl0_3|spl0_4),
% 0.15/0.37 inference(split_clause,[status(thm)],[f254,f248,f251])).
% 0.15/0.37 fof(f256,plain,(
% 0.15/0.37 $false|spl0_3),
% 0.15/0.37 inference(forward_subsumption_resolution,[status(thm)],[f250,f199])).
% 0.15/0.37 fof(f257,plain,(
% 0.15/0.37 spl0_3),
% 0.15/0.37 inference(contradiction_clause,[status(thm)],[f256])).
% 0.15/0.37 fof(f276,plain,(
% 0.15/0.37 ![X0]: (member(x,X0)|X0=null_class|~spl0_4)),
% 0.15/0.37 inference(resolution,[status(thm)],[f231,f252])).
% 0.15/0.37 fof(f282,plain,(
% 0.15/0.37 ![X0,X1]: (intersection(X0,X1)=null_class|member(x,X1)|~spl0_4)),
% 0.15/0.37 inference(resolution,[status(thm)],[f276,f124])).
% 0.15/0.37 fof(f301,plain,(
% 0.15/0.37 spl0_11 <=> member(x,X1)),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f302,plain,(
% 0.15/0.38 ![X0]: (member(x,X0)|~spl0_11)),
% 0.15/0.38 inference(component_clause,[status(thm)],[f301])).
% 0.15/0.38 fof(f307,plain,(
% 0.15/0.38 spl0_12 <=> ~member(X0,null_class)|member(X0,X1)),
% 0.15/0.38 introduced(split_symbol_definition)).
% 0.15/0.38 fof(f308,plain,(
% 0.15/0.38 ![X0,X1]: (~member(X0,null_class)|member(X0,X1)|~spl0_12)),
% 0.15/0.38 inference(component_clause,[status(thm)],[f307])).
% 0.15/0.38 fof(f310,plain,(
% 0.15/0.38 ![X0,X1,X2]: (~member(X0,null_class)|member(X0,X1)|member(x,X2)|~spl0_4)),
% 0.15/0.38 inference(paramodulation,[status(thm)],[f282,f122])).
% 0.15/0.38 fof(f311,plain,(
% 0.15/0.38 spl0_12|spl0_11|~spl0_4),
% 0.15/0.38 inference(split_clause,[status(thm)],[f310,f307,f301,f251])).
% 0.15/0.38 fof(f350,plain,(
% 0.15/0.38 ![X0]: (~member(x,X0)|~spl0_11)),
% 0.15/0.38 inference(resolution,[status(thm)],[f302,f126])).
% 0.15/0.38 fof(f351,plain,(
% 0.15/0.38 $false|~spl0_11),
% 0.15/0.38 inference(forward_subsumption_resolution,[status(thm)],[f350,f302])).
% 0.15/0.38 fof(f352,plain,(
% 0.15/0.38 ~spl0_11),
% 0.15/0.38 inference(contradiction_clause,[status(thm)],[f351])).
% 0.15/0.38 fof(f362,plain,(
% 0.15/0.38 ![X0]: (member(x,X0)|~spl0_12|~spl0_4)),
% 0.15/0.38 inference(resolution,[status(thm)],[f308,f252])).
% 0.15/0.38 fof(f363,plain,(
% 0.15/0.38 spl0_11|~spl0_12|~spl0_4),
% 0.15/0.38 inference(split_clause,[status(thm)],[f362,f301,f307,f251])).
% 0.15/0.38 fof(f374,plain,(
% 0.15/0.38 $false),
% 0.15/0.38 inference(sat_refutation,[status(thm)],[f255,f257,f311,f352,f363])).
% 0.15/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.40 % Elapsed time: 0.078187 seconds
% 0.15/0.40 % CPU time: 0.174524 seconds
% 0.15/0.40 % Memory used: 30.434 MB
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